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Characterizing the entanglement of symmetric many-particle spin-1/2 systems

Stockton, John K. and Geremia, J. M. and Doherty, Andrew C. and Mabuchi, Hideo (2003) Characterizing the entanglement of symmetric many-particle spin-1/2 systems. Physical Review A, 67 (2). Art. No. 022112. ISSN 1050-2947. doi:10.1103/PhysRevA.67.022112.

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Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, N. Fortunately, it is still possible to investigate a many-particle entanglement when the state of the system possesses sufficient symmetry. In this paper, we present a practical method for efficiently computing various bipartite entanglement measures for states in the symmetric subspace and perform these calculations for N similar to 10^(3). By considering all possible bipartite splits, we construct a picture of the multiscale entanglement in large symmetric systems. In particular, we characterize dynamically generated spin-squeezed states by comparing them to known reference states (e.g., Greenberger-Horne-Zeilinger and Dicke states), and families of states with near-maximal bipartite entropy. We quantify the trade-off between the degree of entanglement and its robustness to particle loss, emphasizing that substantial entanglement need not be fragile.

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Additional Information:©2003 The American Physical Society. Received 21 October 2002; published 28 February 2003. The authors acknowledge a number of important discussions with Guifre Vidal, Dave Bacon, and Patrick Hayden. This work was supported in part by the DoD Multidisciplinary University Research Initiative (MURI) program administered by the Army Research Office under Grant No. DAAD19-00-1-0374 and the Caltech Institute for Quantum Information sponsored by the National Science Foundation under Grant No. EIA-0086038. J.K.S. acknowledges financial support from Hertz Foundation.
Subject Keywords:quantum entanglement; Hilbert spaces
Issue or Number:2
Record Number:CaltechAUTHORS:STOpra03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3245
Deposited By: Tony Diaz
Deposited On:24 May 2006
Last Modified:08 Nov 2021 19:54

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